// Created by libAntimony v2.13.0
function Constant_flux__irreversible(v)
  v;
end

Constant_flux__irreversible is "Constant flux (irreversible)"

function Function_for_Tumor_Growth(alpha, x, beta)
  alpha*x*(1 - beta*x);
end

Function_for_Tumor_Growth is "Function_for_Tumor_Growth"

function Function_for_Tumor_Killing_ECs(x, y)
  x*y;
end

Function_for_Tumor_Killing_ECs is "Function_for_Tumor_Killing_ECs"

function Function_for_EC_Stimulation_Tumor_Debris(omega_1, x, y)
  omega_1*x*y;
end

Function_for_EC_Stimulation_Tumor_Debris is "Function_for_EC_Stimulation_Tumor_Debris"

function Function_for_EC_Activation_HTC(rho, y, z)
  rho*y*z;
end

Function_for_EC_Activation_HTC is "Function_for_EC_Activation_HTC"

function Function_for_HTC_Stimulation_Tumor_Antigens(omega_2, x, z)
  omega_2*x*z;
end

Function_for_HTC_Stimulation_Tumor_Antigens is "Function_for_HTC_Stimulation_Tumor_Antigens"


model *Dong2014___Mathematical_modeling_on_helper_t_cells_in_a_tumor_immune_system()

  // Compartments and Species:
  compartment compartment_;
  species x_Tumor_Cells in compartment_, y_Effector_Cells in compartment_;
  species z_Helper_T_Cells in compartment_;

  // Reactions:
  Tumor_Growth:  => x_Tumor_Cells; compartment_*Function_for_Tumor_Growth(alpha, x_Tumor_Cells, beta);
  Tumor_Killing_ECs: x_Tumor_Cells => ; compartment_*Function_for_Tumor_Killing_ECs(x_Tumor_Cells, y_Effector_Cells);
  EC_Stimulation_Tumor_Debris:  => y_Effector_Cells; compartment_*Function_for_EC_Stimulation_Tumor_Debris(omega_1, x_Tumor_Cells, y_Effector_Cells);
  EC_Natural_Death: y_Effector_Cells => ; compartment_*delta_1*y_Effector_Cells;
  EC_Activation_HTC:  => y_Effector_Cells; compartment_*Function_for_EC_Activation_HTC(rho, y_Effector_Cells, z_Helper_T_Cells);
  HTC_Production:  => z_Helper_T_Cells; compartment_*Constant_flux__irreversible(sigma_2);
  HTC_Stimulation_Tumor_Antigens:  => z_Helper_T_Cells; compartment_*Function_for_HTC_Stimulation_Tumor_Antigens(omega_2, x_Tumor_Cells, z_Helper_T_Cells);
  HTC_Natural_Death: z_Helper_T_Cells => ; compartment_*delta_2*z_Helper_T_Cells;

  // Species initializations:
  x_Tumor_Cells = 1;
  y_Effector_Cells = 1;
  z_Helper_T_Cells = 1;

  // Compartment initializations:
  compartment_ = 1;

  // Variable initializations:
  alpha = 1.636;
  beta = 0.002;
  delta_1 = 0.3743;
  omega_1 = 0.04;
  sigma_2 = 0.38;
  delta_2 = 0.055;
  rho = 0.01;
  omega_2 = 0.002;

  // Other declarations:
  const compartment_, alpha, beta, delta_1, omega_1, sigma_2, delta_2, rho;
  const omega_2;

  // Unit definitions:
  unit volume = 1e-3 litre;
  unit time_unit = 86400 second;
  unit substance = item;

  // Display Names:
  time_unit is "time";
  compartment_ is "compartment";

  // CV terms:
  compartment_ hypernym "http://identifiers.org/ncit/C94498"
  x_Tumor_Cells identity "http://identifiers.org/cl/CL:0001063"
  y_Effector_Cells hypernym "http://identifiers.org/ncit/C28241"
  z_Helper_T_Cells identity "http://identifiers.org/cl/CL:0000912"
  Tumor_Growth hypernym "http://identifiers.org/ncit/C18081"
  Tumor_Killing_ECs hypernym "http://identifiers.org/go/GO:0008219"
  EC_Stimulation_Tumor_Debris hypernym "http://identifiers.org/go/GO:0042110"
  EC_Natural_Death hypernym "http://identifiers.org/go/GO:0008219"
  EC_Activation_HTC hypernym "http://identifiers.org/go/GO:0042110"
  HTC_Production hypernym "http://identifiers.org/ncit/C18081"
  HTC_Stimulation_Tumor_Antigens hypernym "http://identifiers.org/go/GO:0042110"
  HTC_Natural_Death hypernym "http://identifiers.org/go/GO:0008219"
end

Dong2014___Mathematical_modeling_on_helper_t_cells_in_a_tumor_immune_system is "Dong2014 - Mathematical modeling on helper t cells in a tumor immune system"

Dong2014___Mathematical_modeling_on_helper_t_cells_in_a_tumor_immune_system description "http://identifiers.org/doi/10.3934/dcdsb.2014.19.55"
Dong2014___Mathematical_modeling_on_helper_t_cells_in_a_tumor_immune_system origin "http://identifiers.org/pubmed/8186756"
Dong2014___Mathematical_modeling_on_helper_t_cells_in_a_tumor_immune_system model_entity_is "http://identifiers.org/biomodels.db/MODEL1908080001",
                                                                                            "http://identifiers.org/biomodels.db/BIOMD0000000783"
Dong2014___Mathematical_modeling_on_helper_t_cells_in_a_tumor_immune_system property "http://identifiers.org/ncit/C15351"
Dong2014___Mathematical_modeling_on_helper_t_cells_in_a_tumor_immune_system property "http://identifiers.org/mamo/MAMO_0000046"
